Research of visco-elastic type II rupture with exciting and attenuation process

Abstract

With non-linear Rayleigh damping formula we describe the exciting process when the rupture velocity is low and the attenuation process when the rupture velocity reaches a certain high value. Assuming the medium of the earth crust is homogeneous and isotropic linear Voigt viscoelastic body, with small parameter perturbation method to deduce the non-linear governing partial differential equations into a system of asymptotic linear ones, we solve them by means of generalized fourier series with moving coordinates as its variables, thus transform them into non-homogeneous mathieu equations. At last Mathieu equations are solved by WKBJ method.